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Last updated on February 17th, 2025

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Divisibility Rule of 116

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Foundation
Intermediate
Advance Topics

The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 116.

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What is the Divisibility Rule of 116?

The divisibility rule for 116 is a method by which we can find out if a number is divisible by 116 or not without using the division method. Check whether 928 is divisible by 116 using the divisibility rule.

 

Step 1: Since 116 is not a small number, we will check divisibility by breaking it down into its factors. The prime factorization of 116 is 2 × 2 × 29.


Step 2: Ensure the number is divisible by 4 (2×2) and 29.


Step 3: To check divisibility by 4, see if the last two digits of the number form a number that is divisible by 4. Here, 28 is divisible by 4.


Step 4: For divisibility by 29, divide 928 by 29 using the division method to check if it results in an integer. 928 ÷ 29 = 32.


Step 5: Since 928 is divisible by both 4 and 29, it is divisible by 116.

divisibility rule of 116

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Tips and Tricks for Divisibility Rule of 116

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 116.

 

Know the multiples of 116:

Memorize the multiples of 116 (116, 232, 348, 464, 580, etc.) to quickly check divisibility.

 

Break down into smaller factors:

Check divisibility by smaller factors of 116 (such as 4 and 29) to simplify the process.

 

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 116

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Divisibility Rule of 116 Examples

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Problem 1

Is 812 divisible by 116?

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Explanation

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Problem 2

Check the divisibility rule of 116 for 928.

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Explanation

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Problem 3

Is -580 divisible by 116?

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Explanation

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Problem 4

Can 464 be divisible by 116 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 116 for 1392.

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Explanation

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FAQs on Divisibility Rule of 116

1.What is the divisibility rule for 116?

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2.How many numbers are there between 1 and 500 that are divisible by 116?

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3.Is 580 divisible by 116?

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4.What if I get 0 after division?

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5.Does the divisibility rule of 116 apply to all integers?

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Important Glossaries for Divisibility Rule of 116

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 4 if its last two digits form a number divisible by 4.

 

  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 116 are 116, 232, 348, etc.

 

  • Factors: Factors are numbers that divide another number completely without leaving a remainder. For example, the factors of 116 are 1, 2, 4, 29, 58, and 116.

 

  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 116 is 2 × 2 × 29.

 

  • Division: Division is the process of finding out how many times one number is contained within another.
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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